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Everything about Probability current
Value for the flow of probability in quantum mechanics
In quantum mechanics, the probability current is a mathematical quantity describing the flow of probability. Specifically, if one thinks of probability as a heterogeneous fluid, then the probability current is the rate of flow of this fluid. It is a real vector that changes with space and time. Probability currents are analogous to mass currents in hydrodynamics and electric currents in electromagnetism. As in those fields, the probability current is related to the probability density function via a continuity equation. The probability current is invariant under gauge transformation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Probability currentA 5-minute orientation
- Skim a recent paper: Probability Analysis of Aberrant Ship Collision with Sea-Crossing Bridges Considering Wind and CurrentInfluential work since 2022
- Pick up a classic book: Veroi͡a︡tnostnyĭ analiz morskikh techeniĭThe most-reprinted book on the subject
- Read the landmark paper: Probability Based Load Criteria: Assessment of Current Design PracticeCited 236 times
- Go sideways: Schrödinger equationA closely related topic
- Go sideways: Continuity equationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Probability Based Load Criteria: Assessment of Current Design Practice
Do Workers’ Remittances Reduce the Probability of Current Account Reversals?
Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics
Virtual probability current associated with the spin
Quantum probability distribution of arrival times and probability current density
Probability current versus charge current of a relativistic particle
Forecasters and Probability Forecasts: Some Current Problems
Probability- and spin-current operators for effective Hamiltonians
🆕 Influential since 2022
Probability Analysis of Aberrant Ship Collision with Sea-Crossing Bridges Considering Wind and Current
Bicharacteristic probability of detection of crack under multi-factor influences using alternating current field measurement technique
Probability of Premature Quenching of HTS Coil Due to Local Reduction of Critical Current
Distribution Characteristics and Formula Revision of Lightning Current Amplitude and Cumulative Probability in Zhejiang Province
Efficient Model Assisted Probability of Detection Estimations in Eddy Current NDT with ACA-SVD Based Forward Solver
📚 Books worth reading
- 📕Veroi͡a︡tnostnyĭ analiz morskikh techeniĭA. P. Belyshev · 1983
- 📕I. Predicting and estimating extremes of precipitation · 2001
- 📕Analysis and geometry of metric measure spacesQuébec) Séminaire de Mathématiques Supérieures (50th 2011 Montréal · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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